1. (a) What are the numbers at a distance 2 units from
1 in the number line?
(b) If |x-1 =3, then what numbers are x? (3)
2 fal yie natural numhor and
Answers
Answer:
(a) –1 & 3
(b) 4
Step-by-step explanation:
(a) 1±2, i.e., 1–2 = –1 and 1+2 = +3
(b) x–1 = 3 => x = 3+1 = 4
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The value of x are 4 and 2
Given:
(a) What are the numbers at a distance of 2 units from 1 in the number line?
(b) If |x-1 =3, then what numbers are x?
Solution:
Number line:
A number line is a visual representation of real numbers as points on a straight line. The number line extends infinitely in both directions and is usually drawn horizontally.
(a) The number that is at 2 units from 1 can be calculated as follows
On the right side of the line = 1 + 2 = 3
On the left side of the line = 1 - 2 = - 1
Hence, the number that is at 2 units from 1 is 3 and - 1
(b) Given that |x - 1| = 3
=> (x - 1) = ± 3
=> (x - 1) = 3 and (x - 1) = - 3
=> x = 4 and x = - 2
Therefore,
The value of x are 4 and 2
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